The French and Indian war was fought between the British and French over territory, starting with the Ohio River Valley. The British declared war in 1754, when George Washington and his troops defeated a small French force, but nowhere near the whole army.
A British and colonial force overwhelmed two French forts near Nova Scotia. Fort Duquesne was built by the French in the Ohio River Valley to discourage British colonists. French destroyed Lake Ontario forts in 1756 and 1757. Quebec attacked by British general in 1759.
After many wins, the Treaty of Paris ended the war for the British in 1784. British kept Canada, great lakes, Florida, and Ohio River Valley. The French left North America.
After the war, the British wanted more control and with great war debts, thought that the colonists should have to pay towards some of it.
Britain began taxing it's colonists. This angered the colonists because they were the ones who fought the war and were now expected to pay taxes. In the 1760s, the British taxed the colonists more and more and put regulations on trade.
The colonists began to think of themselves as separate from the British. Ben Franklin tried to unite the colonies, but failed. The colonies kept trying to unite, which was feared by the British.